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Finding the Third Proportional to 5,453.58 and 8,172.77

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Solution

The third proportional to 5,453.58 and 8,172.77 is: 12,247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,453.58 : 8,172.77 = 8,172.77 : x
  2. Step 2: Convert to fraction form
    5,453.58/8,172.77 = 8,172.77/x
  3. Step 3: Cross multiply
    5,453.58x = 8,172.77 × 8,172.77
  4. Step 4: Simplify right side
    5,453.58x = 66,794,225.66
  5. Step 5: Solve for x
    x = 66,794,225.66/5,453.58
  6. Step 6: Final answer
    x = 12,247.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.